The IGST17 conference took place from July 17th to July 21st 2017. It was the 13th edition of the IGST conference series and it became the major annual event in the field of integrability in high energy physics, with relation to statistical physics and other domains in physics and mathematics. The conference’s main purpose was to offer the leading scientists of the field the opportunity to present their latest work to an audience of specialists and young researchers, already working or starting to work in the field. The conference was attended by about 170 participants (from which about 100 Master students, PhD or post-doctorants), among them 25 speakers, some of them senior scientists, some of them very active researchers at the post-doctoral level. The poster session allowed the doctoral students to present their work in a relaxed setting.

2016

Goals of the school : There has been many recent important developments at the interface between theoretical physics and probability theory, more precisely in the areas of quantum integrable systems and of conformal theory. The purpose of this two-week school was to bring together experts in these areas and enable a lively exchange of ideas and methods through mini-courses and research talks. In so doing, it was also our goal to educate a new generation of researchers (participants) in these areas and their relation. The lecturers we invited came from both mathematics and theoretical physics, and we expected that this would lead to a lively and productive exchange of ideas and methods.

Scientific program : The school last for two weeks and involved a total of 6 mini-courses (4*50 mn each), as well as 18 research lectures (50 mn) from senior participants. Junior participants were invited to submit titles and abstracts for either posters or short talks. All submissions were accepted: 12 junior participants gave short (20 mn) talks, and a similar number presented posters. The schedule afforded a lengthy lunch break to facilitate discussions and collaborations.

Progress in string theory is inexorably tied to its continued interaction with a wide range of areas in mathematics. In turn, string theory has proven a reliable generator of innovative mathematical ideas, and continually inspires new avenues of mathematical research. Increasingly often, new mathematical ideas and results nd their rst application in string theory. Conformal eld theory, vertex algebras, mirror symmetry, generalized complex geometry, topo- logical eld theory, noncommutative geometry are just some of the areas of such fruitful interaction. Recent exciting developments include open string mirror symmetry, wall crossing formulae, topologi- cal classication of D-branes and the derived category approach to D-branes on Calabi-Yau manifolds, geometric transitions, the relation of N=2 instanton partition functions to conformal eld theory, the matrix model approach to gauge theory, the relation between Langlands program and supersymmetric gauge theories, BPS counts and mock modular forms. The idea behind the programme was to bring together experts from around the world, mathematicians and physicists alike, to study some of these new developments, to deepen our understanding of the physical and mathematical structures at play, and to explore the interconnections between these ideas. The main focus of the program was on recent developments in string theory which are of strong mathematical interest. These included foundations of string/M-theory, the physics and mathematics of D-branes, BPS states, and various dualities on the physics side and such areas of mathematics as derived categories, enumerative geometry, number theory, elliptic cohomology, geometric Langlands correspondence, quantum cohomology. The mini-school helped to familiarise younger researchers, notably graduate students, with this circle of ideas and to prepare interested graduate students for the IHP quarter. By providing both foundational background and reviews of recent developments, facilitated their active and successful participation in the the IHP thematic trimester and the StringMath conference. Reads more.